Higher order Ambrosio–Tortorelli scheme with non-negative spatially dependent parameters

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-27 DOI:10.1515/acv-2021-0071

Irene Fonseca, Pan Liu, Xin Yang Lu

引用次数: 0

Abstract

Abstract The Ambrosio–Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it Γ-converges to a Mumford–Shah image segmentation functional depending on the weight ω ⁢ d ⁢ x {\omega\,dx} , where ω is a special function of bounded variation, and on its values at the jumps.

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具有非负空间相关参数的高阶Ambrosio–Tortorelli格式

摘要研究了具有加权底层度量的Ambrosio–Tortorelli近似格式。结果表明，它Γ-收敛于Mumford–Shah图像分割函数，这取决于权重ωd x｛\omega\，dx｝，其中ω是有界变化的特殊函数，以及它在跳跃处的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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